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Simplifying 6k2 + 6k + k2 + 9k = 0 Reorder the terms: 6k + 9k + 6k2 + k2 = 0 Combine like terms: 6k + 9k = 15k 15k + 6k2 + k2 = 0 Combine like terms: 6k2 + k2 = 7k2 15k + 7k2 = 0 Solving 15k + 7k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(15 + 7k) = 0Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(15 + 7k)' equal to zero and attempt to solve: Simplifying 15 + 7k = 0 Solving 15 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 7k = 0 + -15 7k = 0 + -15 Combine like terms: 0 + -15 = -15 7k = -15 Divide each side by '7'. k = -2.142857143 Simplifying k = -2.142857143Solution
k = {0, -2.142857143}
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